All categories

3 years ago

The number. Find the nume.

Mathematics

1 answer:

aliya0001 [1]3 years ago

3 0

Answer: 8x+3x=12x+9

The number is -9.

Step-by-step explanation: Combine like terms.

11x=12x+9

Subtract 12x from the other side. 11x-12x= -1x

-1x+9

Divide by -1 to isolate x.

-1/-1 cancels out.

9/-1= -9

x=-9

Plug in -9 to check your answer if you want to double check.

You might be interested in

It was 96 kilometers from perry to medford. David raced to medford and idled back. If the round trip took 8 hours, what was his

valkas [14]

Average speed = (total distance) / (total time)

Average speed = (192 km) / (8 hours) = 24 km per hour .

3 0

3 years ago

Read 2 more answers

ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right

777dan777 [17]

Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.

Explanation : Here, $\triangle ABC$ is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.

CD measures h units, BD measures y units, DA measures x units.

Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,

y + x = c

a/c=y/a( Similarity theorem in triangles ABC and DBC )

$a^2 = cy$ ------(1) (Cross Product Property)

Similarly, $b^2 = cx$ (Similarity theorem in triangles ABC and ADC)---------(2)

$a^2 + b^2 = cy + cx$ (after adding equation (1) and (2) )

$a^2 + b^2 = c(y + x)$ ( By additional property of equality)

$a^2 + b^2 = c^2$ . ( because y + x=c)

Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.

8 0

3 years ago

Read 2 more answers

A scuba diver swam 96 feet beneath the surface of the lake.he then climb up 49 feet .wat is the depth now?

lakkis [162]

Answer:

The depth now is 47 feet below the surface of the lake

Step-by-step explanation:

Step 1: Determine initial depth

Initial depth=surface level-depth below surface

where;

Surface level=0, since its the point of reference

depth below surface=96 feet

replacing;

Initial depth=(0-96)=-96 feet

Step 2: Final depth

Final depth=Initial depth+distance covered

where;

Initial depth=-96 feet

distance covered=+49 feet since the scuba driver moves towards the surface

replacing;

distance covered=-96+49=-47 feet

The depth now is 47 feet below the surface of the lake

5 0

3 years ago

A box contains 76 coins, only dimes and nickels. The amount in the box is $4.90. How many dimes and how many nickels are in the

dangina [55]

The number of dimes is 75 coins.

The number of nickels is 1 coin.

Step-by-step explanation:

It is given that,

A box contains 76 coins, only dimes and nickels.

The 10 cent coin is called a dime.
Let, the number of dimes be x.
The 5 cent coin is called a nickel.
Let, the number of nickels be y.

This is represented by the system of equations :

x + y = 76 -------(1)

10x + 5y = 4.90 ------(2)

Multiply eq (1) by 5 and subtract eq (2) from eq (1),

5x + 5y = 380

-(10x + 5y = 4.90)

-5x = 375.1

x = 375/5

x = 75 coins.

The number of dimes is 75 coins.

Substitute x=75 in eq (1),

y = 76 - 75

y = 1 coin.

The number of nickels is 1 coin.

6 0

3 years ago

Read 2 more answers

The temperature in Greenland is -8.3°C. The temperature in Jamaica is 30°C. What is the difference between the temperatures in t

Fantom [35]

Answer:

The difference between the temperatures in the two countries is 38.3°C.

Step-by-step explanation:

Given:

Temperature in Greenland = - 8.3°C

Temperature in Jamaica = 30°C

To find :

The difference between the temperature in the two countries = ?

$\textrm{difference between the temperature in the two countries} =\textrm{temperature in Jamaica} - \textrm{temperature in Greenland}\\= 30 - (-8.3)\\= 30 +8.3\\= 38.3\°C$

Therefore,the difference between the temperatures in the two countries is 38.3°C

6 0

3 years ago